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3889088880 = 2435314631129
BaseRepresentation
bin1110011111001110…
…1100100101110000
3101001001000011222220
43213303230211300
530431101321010
61441524401040
7165242465355
oct34763544560
911031004886
103889088880
111716320046
12906546180
1349c95a731
1428c72262c
1517b667970
hexe7cec970

3889088880 has 160 divisors (see below), whose sum is σ = 12483010560. Its totient is φ = 1000581120.

The previous prime is 3889088873. The next prime is 3889088921. The reversal of 3889088880 is 888809883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3444156 + ... + 3445284.

It is an arithmetic number, because the mean of its divisors is an integer number (78018816).

Almost surely, 23889088880 is an apocalyptic number.

3889088880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3889088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241505280).

3889088880 is an abundant number, since it is smaller than the sum of its proper divisors (8593921680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3889088880 is a wasteful number, since it uses less digits than its factorization.

3889088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 60.

The square root of 3889088880 is about 62362.5599217992. The cubic root of 3889088880 is about 1572.5916166966.

The spelling of 3889088880 in words is "three billion, eight hundred eighty-nine million, eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 463 465 496 620 744 926 930 1129 1240 1389 1488 1852 1860 2258 2315 2480 2778 3387 3704 3720 4516 4630 5556 5645 6774 6945 7408 7440 9032 9260 11112 11290 13548 13890 14353 16935 18064 18520 22224 22580 27096 27780 28706 33870 34999 37040 43059 45160 54192 55560 57412 67740 69998 71765 86118 90320 104997 111120 114824 135480 139996 143530 172236 174995 209994 215295 229648 270960 279992 287060 344472 349990 419988 430590 522727 524985 559984 574120 688944 699980 839976 861180 1045454 1049970 1148240 1399960 1568181 1679952 1722360 2090908 2099940 2613635 2799920 3136362 3444720 4181816 4199880 5227270 6272724 7840905 8363632 8399760 10454540 12545448 15681810 16204537 20909080 25090896 31363620 32409074 41818160 48613611 62727240 64818148 81022685 97227222 125454480 129636296 162045370 194454444 243068055 259272592 324090740 388908888 486136110 648181480 777817776 972272220 1296362960 1944544440 3889088880